Heisenberg-Type Inequality and Localization Operators Associated to the Continuous Laguerre-Bessel Wavelet Transform

Our main objective in the present paper is to prove some uncertainty inequalities associated to the Laguerre-Bessel wavelet transform \(\Phi _{g}f.\) ${\mathrm{\Phi }}_{g}f.$ In particular, Donoho-Stark, Lieb and Heisenberg-type uncertainty inequalities are given. Furthermore, the localization operators in this framework are defined and studied.